4 papers
Entrance measures and dynamics for time-inhomogeneous McKean-Vlasov stochastic differential equations
Chunrong Feng, Baoyou Qu, Huaizhong Zhao
In this paper, we study the entrance measures of time-inhomogeneous McKean-Vlasov SDEs. The existence is obtained in great generality, where the system can be expanding globally an…
Global Dynamics of Granular Media Equations via Stochastic Order
Baoyou Qu, Jinxiang Yao, Yanpeng Zhi
This paper studies the rich dynamics of one-dimensional granular media equations with attractive quadratic interactions. Building on the monotone dynamical systems framework develo…
Connecting Orbits in Cooperative McKean-Vlasov SDEs
Chunlin Liu, Baoyou Qu, Jinxiang Yao +1
In this work we extend the framework of monotone dynamical systems to a broad and important class of stochastic equations, namely cooperative McKean-Vlasov SDEs with multiplicative…
Ergodicity and Mixing of Sublinear Expectation System and Applications
Wen Huang, Chunlin Liu, Shige Peng +1
We utilize an ergodic theory framework to explore sublinear expectation theory. Specifically, we investigate the pointwise Birkhoff's ergodic theorem for invariant sublinear expect…